How do you find the GCF of $30 g h^{2}, 42 g^{2} h, 66 g$ $30gh^2, 42g^2h, 66g$ ?

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Answer 1 · 2017-03-22T21:22:54

See the entire solution process below:

Each of these terms can be rewritten as:

$30 g h^{2} = 2 \times 3 \times 5 \times g \times h \times h$ $30gh^2 = color(red)(2) xx color(blue)(3) xx 5 xx color(green)(g) xx h xx h$

$42 g^{2} h = 2 \times 3 \times 7 \times g \times g \times h$ $42g^2h = color(red)(2) xx color(blue)(3) xx 7 xx color(green)(g) xx g xx h$

$66 g = 2 \times 3 \times 11 \times g$ $66g = color(red)(2) xx color(blue)(3) xx 11 xx color(green)(g)$

All the common terms or therefore the GCF are:

$2 \times 3 \times g = 6 g$ $color(red)(2) xx color(blue)(3) xx color(green)(g) = 6g$

How do you find the GCF of 30gh^2, 42g^2h, 66g30gh2,42g2h,66g30gh^2, 42g^2h, 66g?